Quality control analytics at toyota

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Reference no: EM131445844

Case : Quality Management-Toyota

Quality Control Analytics at Toyota

As part of the process for improving the quality of their cars, Toyota engineers have identified a potential improvement to the process that makes a washer that is used in the accelerator assembly. The tolerances on the thickness of the washer are fairly large since the fi t can be loose, but if it does happen to get too large, it can cause the accelerator to bind and create a potential problem for the driver. (Note: This part of the case has been fabricated for teaching purposes, and none of these data were obtained from Toyota.)

Let's assume that, as a fi rst step to improving the process, a sample of 40 washers coming from the machine that produces the washers was taken and the thickness measured in millimeters. The following table has the measurements from the sample:

1.9 2.0 1.9 1.8 2.2 1.7 2.0 1.9 1.7 1.8
1.8 2.2 2.1 2.2 1.9 1.8 2.1 1.6 1.8 1.6
2.1 2.4 2.2 2.1 2.1 2.0 1.8 1.7 1.9 1.9
2.1 2.0 2.4 1.7 2.2 2.0 1.6 2.0 2.1 2.2

Questions

1 If the specification is such that no washer should be greater than 2.4 millimeters, assuming that the thicknesses are distributed normally, what fraction of the output is expected to be greater than this thickness?

2 If there are an upper and lower specification, where the upper thickness limit is 2.4 and the lower thickness limit is 1.4, what fraction of the output is expected to be out of tolerance?

3 What is the Cpkfor the process?

4 What would be the Cpkfor the process if it were centered between the specification limits (assume the process standard deviation is the same)?

5 What percentage of output would be expected to be out of tolerance if the process were centered?

6 Set upX - and range control charts for the current process. Assume the operators will take samples of 10 washers at a time.

7 Plot the data on your control charts. Does the current process appear to be in control?

8 If the process could be improved so that the standard deviation were only about .10 millimeter, what would be the best that could be expected with the processes relative to fraction defective?

Attachment:- Computing Trend and Seasonal Factor.rar

Verified Expert

This task provides a clear working example of process capability index. The capability of the process is measured using process capability index Cp and Cpk. A process capability index uses both the process variability and the process specifications to determine whether the process is capable or not

Reference no: EM131445844

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inf1445844

4/11/2017 5:42:23 AM

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len1445844

3/31/2017 3:06:27 AM

Complete "Example 13.2: Process Control Chart Design," located in Chapter 13 of the textbook. Write a 150-300-word paragraph comparing the simple moving average weighted moving average, exponential smoothing, and linear regression analysis time series models. Refer to the Excel spreadsheet, "Quality Control Analytics at Toyota," to complete the "Case: Quality Management Toyota," at the end of Chapter 13 in the textbook. Answer Questions 1-8. Refer to the Excel spreadsheet, "Computing Trend and Seasonal Factor From a Linear Regression Line Obtained "to complete the "Example 18.4: Computing Trend and Seasonal Factor From a Linear Regression Line Obtained With Excel," located in Chapter 18 of the textbook. After working through the example, reflect write a 150-300-word paragraph explaining the market research, panel consensus, historical analogy, and Delphi method qualitative forecasting techniques. While APA format is not required for the body of this assignment, solid academic writing is expected, and documentation of sources should be presented using APA formatting guidelines, which can be found in the APA Style Guide, located in the Student Success Center.

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